The Role of Time-Dependent Phase Space Structures in Reaction Dynamics and the No-Recrossing Property of Dividing Surfaces

DOI10.1142/S0218127421500644zbMath1464.37059OpenAlexW3147976867MaRDI QIDQ5857917

Cate Mandell, Stephen Wiggins

Publication date: 8 April 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421500644

zbMATH Keywords

time-dependent Hamiltonianno-recrossing dividing surfacestime-dependent phase space structuretime-dependent reaction dynamics

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Cites Work

• Geometrical models of the phase space structures governing reaction dynamics
• Normally hyperbolic invariant manifolds in dynamical systems
• The role of normally hyperbolic invariant manifolds (NHIMS) in the context of the phase space setting for chemical reaction dynamics
• Direct construction of a dividing surface of minimal flux for multi-degree-of-freedom systems that cannot be recrossed
• Unnamed Item

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